201557283648 has 336 divisors, whose sum is σ = 636482530944. Its totient is φ = 56106086400.

The previous prime is 201557283637. The next prime is 201557283649. The reversal of 201557283648 is 846382755102.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 201557283648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201557283649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75290886 + ... + 75293562.

Almost surely, 2^201557283648 is an apocalyptic number.

201557283648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201557283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318241265472).

201557283648 is an abundant number, since it is smaller than the sum of its proper divisors (434925247296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201557283648 is a wasteful number, since it uses less digits than its factorization.

201557283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 201557283648 in words is "two hundred one billion, five hundred fifty-seven million, two hundred eighty-three thousand, six hundred forty-eight".